Statistical theory

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The theory of statistics includes a number of topics:

Statistical models of the sources of data and typical problem formulation:

  1. Sampling from a finite population
  2. Measuring observational error and refining procedures
  3. Studying statistical relations

Planning Research to measure and control observational error:

  1. Designing experiments to determine treatment effects
  2. Survey sampling to describe natural populations

Summarizing statistical data in conventional forms (also known as descriptive statistics)

  1. Choosing summary statistics to describe a sample
  2. Fitting probability distributions to sample data

Interpreting statistical data is the final objective of all research:

  1. Common assumptions that we make
  2. Likelihood principle
  3. Estimating parameters
  4. Testing statistical hypotheses
  5. Revising opinions in statistics

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